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Polyadic MV-Algebras

✍ Scribed by Dietrich Schwartz

Publisher: John Wiley and Sons
Year: 1980
Tongue: English
Weight: 231 KB
Volume: 26
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.19800263602

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📜 SIMILAR VOLUMES

MV-Observables and MV-Algebras

✍ Anatolij Dvurečenskij 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 135 KB

We introduce MV-observables, an analogue of observables for MV-algebras, as -homomorphisms from the Borel tribe generated by the Borel sets of ‫ޒ‬ and w x constant functions from 0, 1 into an MV-algebra M. We show that it is possible to define such observables only for weakly divisible MV-algebras.

Boolean Products of MV-Algebras: Hyperno

Boolean Products of MV-Algebras: Hypernormal MV-Algebras

✍ Roberto Cignoli; Antoni Torrens Torrell 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 214 KB

Strict MV-algebras

✍ Rosanna Ambrosio 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 67 KB

Hyper MV -ideals in hyper MV -algebras

✍ Lida Torkzadeh; Afsaneh Ahadpanah 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 117 KB

## Abstract In this paper we define the hyper operations ⊗, ∨ and ∧ on a hyper __MV__ ‐algebra and we obtain some related results. After that by considering the notions ofhyper __MV__ ‐ideals and weak hyper __MV__ ‐ideals, we prove some theorems. Then we determine relationships between (weak) hyper

Polyadic and cylindric algebras of sente

Polyadic and cylindric algebras of sentences

✍ Mohamed Amer; Tarek Sayed Ahmed 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 114 KB

## Abstract In this note we give an interpretation of cylindric algebras as algebras of sentences (rather than formulas) of first order logic. We show that the isomorphism types of such algebras of sentences coincide with the class of neat reducts of cylindric algebras. Also we show how this interp

Hyper-Archimedean BL-algebras are MV-alg

Hyper-Archimedean BL-algebras are MV-algebras

✍ Esko Turunen 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 123 KB

## Abstract Generalizations of Boolean elements of a BL‐algebra __L__ are studied. By utilizing the MV‐center MV(__L__) of __L__, it is reproved that an element __x__ ∈ __L__ is Boolean iff __x__ ∨ __x__ \* = **1**. __L__ is called semi‐Boolean if for all __x__ ∈ __L__, __x__ \* is Boolean. An MV‐a